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9060468840 = 233552932143
BaseRepresentation
bin10000111000000101…
…11100100001101000
3212101102212111200000
420130002330201220
5122023440000330
64055021143000
7440345500023
oct103402744150
925342774600
109060468840
11392a442385
12190a3baa60
13b15162787
1461d4761ba
15380673560
hex21c0bc868

9060468840 has 192 divisors, whose sum is σ = 31591123200. Its totient is φ = 2332737792.

The previous prime is 9060468817. The next prime is 9060468847. The reversal of 9060468840 is 488640609.

It is a happy number.

9060468840 is a `hidden beast` number, since 90 + 60 + 468 + 8 + 40 = 666.

It is a super-2 number, since 2×90604688402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9060468847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265809 + ... + 297951.

It is an arithmetic number, because the mean of its divisors is an integer number (164537100).

Almost surely, 29060468840 is an apocalyptic number.

9060468840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9060468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795561600).

9060468840 is an abundant number, since it is smaller than the sum of its proper divisors (22530654360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9060468840 is a wasteful number, since it uses less digits than its factorization.

9060468840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32198 (or 32182 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9060468840 is about 95186.4950505060. The cubic root of 9060468840 is about 2084.7319566401.

The spelling of 9060468840 in words is "nine billion, sixty million, four hundred sixty-eight thousand, eight hundred forty".